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Finding the Fourth Proportional to 12,537.83, 17,302.41 and 6,873.12

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Solution

The fourth proportional to 12,537.83, 17,302.41 and 6,873.12 is: 9,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.83 : 17,302.41 = 6,873.12 : x
  2. Step 2: Convert to fraction form
    12,537.83/17,302.41 = 6,873.12/x
  3. Step 3: Cross multiply
    12,537.83x = 17,302.41 × 6,873.12
  4. Step 4: Simplify right side
    12,537.83x = 118,921,540.22
  5. Step 5: Solve for x
    x = 118,921,540.22/12,537.83
  6. Step 6: Final answer
    x = 9,485.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.